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Finding the Fourth Proportional to 471,261.81, 701,901.46 and 468,965.46

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Solution

The fourth proportional to 471,261.81, 701,901.46 and 468,965.46 is: 698,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,261.81 : 701,901.46 = 468,965.46 : x
  2. Step 2: Convert to fraction form
    471,261.81/701,901.46 = 468,965.46/x
  3. Step 3: Cross multiply
    471,261.81x = 701,901.46 × 468,965.46
  4. Step 4: Simplify right side
    471,261.81x = 329,167,541,063.57
  5. Step 5: Solve for x
    x = 329,167,541,063.57/471,261.81
  6. Step 6: Final answer
    x = 698,481.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.